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Finding the Third Proportional to 29,979 and 65,358

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Solution

The third proportional to 29,979 and 65,358 is: 142,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,979 : 65,358 = 65,358 : x
  2. Step 2: Convert to fraction form
    29,979/65,358 = 65,358/x
  3. Step 3: Cross multiply
    29,979x = 65,358 × 65,358
  4. Step 4: Simplify right side
    29,979x = 4,271,668,164
  5. Step 5: Solve for x
    x = 4,271,668,164/29,979
  6. Step 6: Final answer
    x = 142,488.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.